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avatar+30 

Find \(PQ\) in this:

 

 Jun 8, 2019

Best Answer 

 #1
avatar+8437 
+4

tan( angle )  =  opposite / adjacent

 

tan( 30° )  =  9√3 / PQ

 

PQ tan( 30° )  =  9√3

 

PQ  =  9√3 / tan( 30° )

 

PQ  =  27

 

....Or.....you can notice that this is a 30-60-90 triangle. And remember in every 30-60-90 triangle,

 

side opposite the 60° angle  =  √3 * ( side opposite the 30° angle )

 

PQ  =  √3 * 9√3

 

PQ  =  3 * 9

 

PQ  =  27

 Jun 8, 2019
 #1
avatar+8437 
+4
Best Answer

tan( angle )  =  opposite / adjacent

 

tan( 30° )  =  9√3 / PQ

 

PQ tan( 30° )  =  9√3

 

PQ  =  9√3 / tan( 30° )

 

PQ  =  27

 

....Or.....you can notice that this is a 30-60-90 triangle. And remember in every 30-60-90 triangle,

 

side opposite the 60° angle  =  √3 * ( side opposite the 30° angle )

 

PQ  =  √3 * 9√3

 

PQ  =  3 * 9

 

PQ  =  27

hectictar Jun 8, 2019
 #2
avatar+30 
0

Oh, that's what I should have done! I messed up. Thanks, hectictar.

 Jun 8, 2019

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